1
课程详述
COURSE SPECIFICATION
以下课程信息可能根据实际授课需要或在课程检讨之后产生变动。如对课程有任何疑问，请
联系授课教师。
The course information as follows may be subject to change, either during the session because of unforeseen
circumstances, or following review of the course at the end of the session. Queries about the course should be
directed to the course instructor.
1.
课程名称 Course Title
现代计算方法 Mordern Numerical Methods
2.
授课院系
Originating Department
力学与航空航天工程系 Department of Mechanics and Aerospace Engineering
3.
课程编号
Course Code
MAE323
4.
课程学分 Credit Value
3
5.
课程类别
Course Type
专业选修课 Major Elective Courses
6.
授课学期
Semester
春季 Spring
7.
授课语言
Teaching Language
英文 English
8.
授课教师、所属学系、联系方
式（如属团队授课，请列明其
他授课教师）
Instructor(s), Affiliation&
Contact
（For team teaching, please list
allinstructors）
吴雷，力学与航空航天工程系 (wul@sustech.edu.cn)
Lei Wu, Department of Mechanics and Aerospace Engineering (wul@sustech.edu.cn)
9.
实验员/助教、所属学系、联系
方式
Tutor/TA(s), Contact
To be announced
10.
选课人数限额(可不填)
Maximum Enrolment
（Optional）
11.
授课方式
Delivery Method
讲授
Lectures
习题/辅导/讨论
Tutorials
实验/实习
Lab/Practical
其它(请具体注明)
Other（Please specify）
总学时
Total
学时数
Credit Hours
32
32
64
12.
先修课程、其它学习要求
Pre-requisites or Other
Academic Requirements
Calculus II B（MA102C）; Linear Algebra A（MA107A）
13.
后续课程、其它学习规划
Courses for which this course
is a pre-requisite
NA
14.
其它要求修读本课程的学系
Cross-listing Dept.
NA
2
教学大纲及教学日历 SYLLABUS
15.
教学目标 Course Objectives
This course provides a fundamental introduction to numerical analysis suitable for undergraduate
students in mathematics, computer science, physical sciences, and engineering. It is assumed that the
reader is familiar with calculus and has taken a structured programming course. It covers numerous
topics including Interpolation and Polynomial Approximation, Curve Fitting, Numerical Differentiation,
Numerical Integration (of both ordinary and partial differential equations). Interesting examples
including the simulations of Chaos (e.g. butterfly effect) and Solitons (solutions of nonlinear partial
differential equations) will be covered. It is hoped that after the course students will be able to analyse
the mathematical problems and write the computer codes to solve the practical engineering problems
of interest.
16.
预达学习成果 Learning Outcomes
On completion of this course, students will be able to:
1. Find the roots of non-linear equations
2. Perform interpolation and polynomial approximation
3. Fit curves from the given (experimental) data
4. Do numerical differentiation and numerical integration
5. Solve the ordinary differential equations numerically
6. Solve the partial differential equations numerically
完成本课程后，学生将能够：
1.求解非线性方程的根；
2.能够进行插值和多项式逼近；
3.根据给定（实验）数据拟合曲线；
4.进行数值微分和数值积分；
5.数值求解常微分方程组；
6.数值求解偏微分方程组。
17.
课程内容及教学日历 （如授课语言以英文为主，则课程内容介绍可以用英文；如团队教学或模块教学，教学日历须注明
主讲人）
Course Contents (in Parts/Chapters/Sections/Weeks. Please notify name of instructor for course section(s), if
this is a team teaching or module course.)